6413816320 has 160 divisors (see below), whose sum is σ = 16749374400. Its totient is φ = 2346172416.

The previous prime is 6413816273. The next prime is 6413816327. The reversal of 6413816320 is 236183146.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×6413816320² = 82274079573396684800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6413816327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1408287 + ... + 1412833.

It is an arithmetic number, because the mean of its divisors is an integer number (104683590).

Almost surely, 2^6413816320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6413816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8374687200).

6413816320 is an abundant number, since it is smaller than the sum of its proper divisors (10335558080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6413816320 is a wasteful number, since it uses less digits than its factorization.

6413816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4618 (or 4602 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 6413816320 is about 80086.3054460624. The cubic root of 6413816320 is about 1857.9706081156.

Adding to 6413816320 its reverse (236183146), we get a palindrome (6649999466).

The spelling of 6413816320 in words is "six billion, four hundred thirteen million, eight hundred sixteen thousand, three hundred twenty".